Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
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References (13)
Perturbation Theory for Linear Operators
1995 • 17,079 citations
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
1986 • 10,699 citations
The Theory of Matrices
1984 • 8,921 citations
Perturbation theory for linear operators
1966 • 7,568 citations
Unitary quantum time evolution by iterative Lanczos reduction
1986 • 846 citations
New Approach to Many-State Quantum Dynamics: The Recursive-Residue-Generation Method
1983 • 260 citations
An iterative solution method for solving f(A)x = b, using Krylov subspace information obtained for the symmetric positive definite matrix A
1987 • 174 citations
A method for exponential propagation of large systems of stiff nonlinear differential equations
1989 • 111 citations
Theory of laser-molecule interaction: The recursive-residue-generation method
1984 • 97 citations
On the parallel solution of parabolic equations
1989 • 63 citations
Extended numerical computations on the “1/9” conjecture in rational approximation theory
1984 • 59 citations
The asymptotic accuracy of rational best approximations to ez on a disk
1984 • 28 citations
Applications of the Lanczos method
1989 • 21 citations